Question

Algebra

Answer 1

Assume A to be an n×n real matrix.

Which of the following statements is false?

1) \(I+AA^t\) is invertible

2) every eigenvalue of \(AA^t\) is non-negative real

Answer 2

And would your response differ if it was put this way?!


1) \(I+AA^T\) is invertible

2) every eigenvalue of \(AA^T\) is non negative real

Answer 3

1) is the identity matrix added to a real number matrix with it's transpose ?
2) If the numbers in the matrix are real. Their signs though ... ?
This is a wild stab at an answer.

Answer 4

@satellite73 You might be able to do this